Volume 2, Issue 3-4, September 1995, Pages 319 - 328
Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body
- N.A. BADRAN, M.B. ABDELMALEK
- Corresponding Author
- N.A. BADRAN
Available Online 19 December 2006.
- https://doi.org/10.2991/jnmp.1995.2.3-4.12How to use a DOI?
- The transformation group theoretic approach is applied to present an analysis of the nonlinear unsteady heat conduction problem in a semiinfinite body. The application of oneparameter group reduces the number of independent variables by one, and consequently the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with the appropriate corresponding boundary conditions. The ordinary differential equation is solved analytically for some special forms of the thermal parameters. The general analysis developed in this study corresponds to thermal parameters that has different forms with coordinates and time.
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Cite this article
TY - JOUR AU - N.A. BADRAN AU - M.B. ABDELMALEK PY - 2006 DA - 2006/12 TI - Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body JO - Journal of Nonlinear Mathematical Physics SP - 319 EP - 328 VL - 2 IS - 3-4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1995.2.3-4.12 DO - https://doi.org/10.2991/jnmp.1995.2.3-4.12 ID - BADRAN2006 ER -